Solve: Adding 1/2 and 2/8 - Fraction Addition Practice

Solve the following exercise:

$\frac{1}{2}+\frac{2}{8}=\text{?}$

To solve this problem, we will follow these steps:

• Step 1: Identify the given fractions $\frac{1}{2}$ and $\frac{2}{8}$.
• Step 2: Determine a common denominator for both fractions. Since 8 is a multiple of 2, we will use 8 as the common denominator.
• Step 3: Convert $\frac{1}{2}$ to an equivalent fraction with a denominator of 8.
• Step 4: Add the fractions together.

Now, let's work through these steps:

Step 1: The fractions given are $\frac{1}{2}$ and $\frac{2}{8}$.

Step 2: We choose 8 as the common denominator because it is a multiple of 2.

Step 3: Convert $\frac{1}{2}$ to have a denominator of 8. To do this, multiply both the numerator and the denominator of $\frac{1}{2}$ by 4:

$\frac{1}{2} = \frac{1 \times 4}{2 \times 4} = \frac{4}{8}$

The fractions now are $\frac{4}{8}$ and $\frac{2}{8}$, both having the common denominator 8.

Step 4: Add the numerators of these fractions:

$\frac{4}{8} + \frac{2}{8} = \frac{4+2}{8} = \frac{6}{8}$

Therefore, the sum of $\frac{1}{2} + \frac{2}{8}$ is $\frac{6}{8}$.